In 1987, Zagier and Kramarz published a paper in which they presented evidence that a positive proportion of the even-signed cubic twists of the elliptic curve x3+y3=1 should have positive rank. We extend their data, showing that it is more likely that the proportion goes to zero.
Watkins, Mark, "Rank Distribution in a Family of Cubic Twists" (2005). Mathematics - All Scholarship. 105.
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0412427